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Finding the Fourth Proportional to 10,954.46, 16,416.06 and 8,446.16

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Solution

The fourth proportional to 10,954.46, 16,416.06 and 8,446.16 is: 12,657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.46 : 16,416.06 = 8,446.16 : x
  2. Step 2: Convert to fraction form
    10,954.46/16,416.06 = 8,446.16/x
  3. Step 3: Cross multiply
    10,954.46x = 16,416.06 × 8,446.16
  4. Step 4: Simplify right side
    10,954.46x = 138,652,710.37
  5. Step 5: Solve for x
    x = 138,652,710.37/10,954.46
  6. Step 6: Final answer
    x = 12,657.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.